Answer:
Part A: <u>3x + 4</u>
Part B: Two times 9 more than a number.
Step-by-step explanation:
For Part A, 4 more means add 4. 3 times a number means 3 times a random number which is X. For part B, you can just follow the same steps.
1. You have that the Standard form for the equation of a circle when its center is at the origin, is:
x²+y²=r²
2. You must calculate the radius. Then:
r=√(x²+y²)
x=24
y=32
3. When you substitute the values of "x" and "y" into the equation r=√(x²+y²), you obtain:
r=√(x²+y²)
r=√(24²+32²)
r=√(576+1024)
r=√1600
r=40 feet
4. Therefore, the diameter (D) of the circle, is:
D=2r
D=2(40 feet)
D=80 feet
For a square, you can use the points, (1, 5) and (–2, 3). To find these,
think about how you move from point (0, 0) to (3, 2). Rise = 2 and run = 3 for
a slope of 2/3. The perpendicular line segments will have a slope of –3/2 or
rise = 3 and run = –2. Starting at (0, 0) move up 3 and left 2 to get the point
(–2, 3). Do the same movements from (3, 2) to get the point (1, 5).For a rectangle you could use the points (3, 0) and (0, 2).
To make it a NON-rectangular parallelogram, just scoot each of those points
over a bit in opposite directions ... from (3, 0) to (4, 0) and from (0, 2)
to (–1, 2).For a right triangle, just use either (3, 0) or
(0, 2). Combined with the other 2 given points, this will form a right triangle
In the table it shows that 1 hour corresponds to $25. Or if you want to check it, simply take any value and divide it by its corresponding hour ( ex. 50/2 or 75/3) Hope this helps!
You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:
Parallel: x = 2
Perpendicular: y = -2
In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.
Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.
